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math.PR2016
The Loewner difference equation and convergence of loop-erased random walk
Gregory F. Lawler, Fredrik Viklund
We revisit the convergence of loop-erased random walk, LERW, to SLE(2) when the curves are parametrized by capacity. We construct a coupling of the chordal version of LERW and chor…
math.PR2016★ 5 cited
Convergence of loop-erased random walk in the natural parametrization
Gregory F. Lawler, Fredrik Viklund
Loop-erased random walk, abbreviated LERW, is one of the most well-studied critical lattice models. It is the self-avoiding random walk one gets after erasing the loops from a simp…